40137400 has 48 divisors (see below), whose sum is σ = 94290840. Its totient is φ = 15888000.

The previous prime is 40137379. The next prime is 40137407. The reversal of 40137400 is 473104.

It is a happy number.

It is a super-2 number, since 2×40137400² = 3222021757520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19207 + ... + 21193.

Almost surely, 2^40137400 is an apocalyptic number.

40137400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47145420).

40137400 is an abundant number, since it is smaller than the sum of its proper divisors (54153440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40137400 is a wasteful number, since it uses less digits than its factorization.

40137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 40137400 is about 6335.4084319797. The cubic root of 40137400 is about 342.3863263166.

The spelling of 40137400 in words is "forty million, one hundred thirty-seven thousand, four hundred".